This lesson introduces students to long division. Students see that in long division …
This lesson introduces students to long division. Students see that in long division the meaning of each digit is intimately tied to its place value, and that it is an efficient way to find quotients. In the partial quotients method, all numbers and their meaning are fully and explicitly written out. For example, to find 657÷3 we write that there are at least 3 groups of 200, record a subtraction of 600, and show a difference of 57. In long division, instead of writing out all the digits, we rely on the position of any digit—of the quotient, of the number being subtracted, or of a difference—to convey its meaning, which simplifies the calculation.In addition to making sense of long division and using it to calculate quotients, students also analyze some place-value errors commonly made in long division (MP3).
Students will have the opportunity to work in groups and investigate the …
Students will have the opportunity to work in groups and investigate the effects of an “oil spill” in a water body. In a simulated “ocean” (a pan of water), students will drop a small amount of oil into the water and see the effects and interaction. In an introduction to the workshop, students discuss sources of pollution and oil contamination in water bodies – from point sources (tanker spills) and non-point sources (vehicle run-off). A brief discussion on preventing and cleaning up oil contamination will lead into the activity, in which the students will use a variety of materials to see what method works best for recovering the most oil from the water. Students will develop a proposal explaining which materials and procedures work best for cleaning up an oil spill. Students will also create a presentation to share their proposal.
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